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Finding the Fourth Proportional to 5,296.68, 7,945.02 and 1,401.66

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Solution

The fourth proportional to 5,296.68, 7,945.02 and 1,401.66 is: 2,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.68 : 7,945.02 = 1,401.66 : x
  2. Step 2: Convert to fraction form
    5,296.68/7,945.02 = 1,401.66/x
  3. Step 3: Cross multiply
    5,296.68x = 7,945.02 × 1,401.66
  4. Step 4: Simplify right side
    5,296.68x = 11,136,216.73
  5. Step 5: Solve for x
    x = 11,136,216.73/5,296.68
  6. Step 6: Final answer
    x = 2,102.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.